On Characterizing weak defining hyperplanes (weak Facets) in DEA with Constant Returns to Scale Technology

Abstract

The Production Possibility Set (PPS) is defined as a set of inputs and outputs of a system in which inputs can produce outputs. The Production Possibility Set of the Data Envelopment Analysis (DEA) model is contain of two types defining hyperplanes (facets); strong and weak efficient facets. In this paper, the problem of finding weak defining hyperplanes of the PPS of the CCR model is dealt with. However, the equation of strong defining hyperplanes of the PPS of the CCR model can be found in this paper. We state and prove some properties relative to our method. To illustrate the applicability of the proposed model, some numerical examples are finally provided. Our algorithm can easily be implemented using existing packages for operation research, such as GAMS.

Finding an improved region of efficiency via DEA-efficient hyperplanes

“…The studies of e cient frontiers and characterization of di erent types of hyperplanes have been less intensively investigated [10,11]. The connotation of the e cient frontier DMUs in the DEA was studied by Jahanshahloo et al [12]; this study found the piecewise linear frontier of the production function.…”